Final answer:
To solve this problem, we can use the concept of half-life. The half-life of tritium is 12.26 years. Using the formula T = t₁/2 * log(100%/remaining radioactivity percentage), we can determine that the sample will lose 75% of its radioactivity in 12.26 years.
Step-by-step explanation:
To solve this problem, we can use the concept of half-life. The half-life of an isotope is the time it takes for half of the sample to decay. In this case, the half-life of tritium is 12.26 years. To determine how much time will be required for a sample of H-3 to lose 75% of its radioactivity, we can use the formula:
T = t₁/2 * log(100%/remaining radioactivity percentage)
Plugging in the values, we have T = 12.26 * log(100%/25%) = 12.26 years. Therefore, the correct answer is B) 12.26 years.